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Finding the Fourth Proportional to 414.88, 574.08 and 363.28

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Solution

The fourth proportional to 414.88, 574.08 and 363.28 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 574.08 = 363.28 : x
  2. Step 2: Convert to fraction form
    414.88/574.08 = 363.28/x
  3. Step 3: Cross multiply
    414.88x = 574.08 × 363.28
  4. Step 4: Simplify right side
    414.88x = 208,551.78
  5. Step 5: Solve for x
    x = 208,551.78/414.88
  6. Step 6: Final answer
    x = 502.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.